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Theorem pm11.07 2115
 Description: Theorem *11.07 in [WhiteheadRussell] p. 159. (Contributed by Andrew Salmon, 17-Jun-2011.)
Assertion
Ref Expression
pm11.07
Distinct variable groups:   ,,,   ,,
Allowed substitution hint:   ()

Proof of Theorem pm11.07
StepHypRef Expression
1 a9ev 1656 . . . . . . 7
2 a9ev 1656 . . . . . . 7
31, 2pm3.2i 441 . . . . . 6
4 a9ev 1656 . . . . . . 7
5 a9ev 1656 . . . . . . 7
64, 5pm3.2i 441 . . . . . 6
73, 62th 230 . . . . 5
8 eeanv 1913 . . . . 5
9 eeanv 1913 . . . . 5
107, 8, 93bitr4i 268 . . . 4
1110anbi1i 676 . . 3
12 19.41vv 1902 . . 3
13 19.41vv 1902 . . 3
1411, 12, 133bitr4i 268 . 2
15 2sb5 2112 . 2
16 2sb5 2112 . 2
1714, 15, 163bitr4i 268 1
 Colors of variables: wff setvar class Syntax hints:   wb 176   wa 358  wex 1541  wsb 1648 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649 This theorem is referenced by: (None)
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